T-Shirt Profit The latest demand equation for your Yoda vs. Alien T-shirts is given by q = -50x + 800 where q is the number of shirts you can sell in one week if you charge $x per shirt. The Student Council charges you $300 per week for use of their facilities, and the T-shirts cost you $8 each. Find the weekly cost as a function of the unit price x. C(x) = Hence, find the weekly profit as a function of x. P(x) = Determine the unit price (in dollars per T-shirt) you should charge to obtain the largest possible weekly profit. x = $ per T-shirt What is the largest possible weekly profit (in dollars)? $

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.CR: Review Problem Set
Problem 24CR: An outpatient operating room charges each patient a fixed amount per surgery plus an amount per...
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T-Shirt Profit The latest demand equation for your Yoda vs. Alien T-shirts is given by
q = -50x + 800
where q is the number of shirts you can sell in one week if you charge $x per shirt. The Student Council charges you $300 per week for use of their facilities, and the T-shirts cost you $8 each. Find the
weekly cost as a function of the unit price x.
C(x) =
Hence, find the weekly profit as a function of x.
P(x) =
Determine the unit price (in dollars per T-shirt) you should charge to obtain the largest possible weekly profit.
x = $
per T-shirt
What is the largest possible weekly profit (in dollars)?
Transcribed Image Text:T-Shirt Profit The latest demand equation for your Yoda vs. Alien T-shirts is given by q = -50x + 800 where q is the number of shirts you can sell in one week if you charge $x per shirt. The Student Council charges you $300 per week for use of their facilities, and the T-shirts cost you $8 each. Find the weekly cost as a function of the unit price x. C(x) = Hence, find the weekly profit as a function of x. P(x) = Determine the unit price (in dollars per T-shirt) you should charge to obtain the largest possible weekly profit. x = $ per T-shirt What is the largest possible weekly profit (in dollars)?
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